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Finding the Third Proportional to 175,745.75 and 266,083.75

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Solution

The third proportional to 175,745.75 and 266,083.75 is: 402,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,745.75 : 266,083.75 = 266,083.75 : x
  2. Step 2: Convert to fraction form
    175,745.75/266,083.75 = 266,083.75/x
  3. Step 3: Cross multiply
    175,745.75x = 266,083.75 × 266,083.75
  4. Step 4: Simplify right side
    175,745.75x = 70,800,562,014.06
  5. Step 5: Solve for x
    x = 70,800,562,014.06/175,745.75
  6. Step 6: Final answer
    x = 402,857.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.